Qualitative Mapping, Criterion Trasformation and Artificial Neuron

A mathematical model for describing the disciplinarian that the true value of property p(x) varies according to it's qualitative criterion [α,β], called the Qualitative Mapping τ
p
(x,[α,β]) is presented in this paper, and the inner product transformation of qualitative criterion [α,β], denoted by w_[α,β] is discussed. It is shown that an Artificial Neuron is a special qualitative mapping.